What is (sqrt(125))^3 ?

The solution to (sqrt(125))^3 is 625sqrt(5)

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simplify (sqrt(125))^3

simplify

(125)^{3}

6255

Decimal Notation

1397.54248 \dots

Solution steps

(125)^{3}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

(125)^{2 + 1} = (125)^{2} 125

= (125)^{2} 125

Apply exponent rule:

(125)^{2} = 125

= 125125

Prime factorization of

125 : 5^{3}

= 125 5^{3}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

5^{3} = 5^{2} \cdot 5

= 125 5^{2} \cdot 5

Apply radical rule:

ab = a b, a \geq 0, b \geq 0

5^{2} \cdot 5 = 5^{2} 5

= 125 5^{2} 5

Apply radical rule:

a^{2} = a, a \geq 0

5^{2} = 5

= 125 \cdot 55

Multiply the numbers:

125 \cdot 5 = 625

= 6255

\frac{1}{2 π} e^{- \frac{1 ^{2}}{2}}

0 \cdot e^{- 2 \cdot 0}

4 x^{3} y (5 x^{2} y^{5})

(5 a^{2} x y^{2}) (- 3 x^{3} + 5 x^{2} y - 7 x y^{2} - 4 y^{3})